{
 "id": "LIB2-011",
 "entry_version": 7,
 "class": "CLAIM",
 "title": "The cubic Jordan slice is a Lagrangian boundary of the FTS",
 "statement": "The slice LJ = Re− ⊕ J+2 carrying the golden ladder is a 28-dimensional Lagrangian subspace of the real FTS 56.",
 "scope": {
  "carrier": "LJ = Re− ⊕ J+2 in the Freudenthal carrier",
  "domain": "The kinematic Jordan-boundary statement in Appendix X.",
  "group": "E7(7)",
  "hypotheses": [
   "The registered FTS symplectic form and the named mass-coordinate slice are fixed."
  ],
  "physical_target": null,
  "quantifier": "The named real slice and symplectic pairing.",
  "real_form": "Split J3(Os), E7(7)"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 348
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "computational",
   "availability": "unknown"
  }
 ],
 "primary_source": {
  "component": "Appendix X",
  "section": "P0-1 audit, The result: definition of LJ",
  "pdf_page": 369,
  "quote": "Writing LJ = Re− ⊕ J+2 for the slice carrying the golden ladder:"
 },
 "caution": "The symplectic form contributes kinematics, not a mass-sector Hamiltonian or dynamics selector; the conjugate-section attachment remains open.",
 "candidate_ids": [
  "C2-032"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "cited_by_section",
   "target": "E-C03.1.claims-used"
  },
  {
   "type": "cited_by_section",
   "target": "E-C03.1.derivation"
  },
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   "type": "cited_by_section",
   "target": "E-C03.1.prior-art"
  },
  {
   "type": "cited_by_section",
   "target": "E-C03.1.sources-receipt"
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 ],
 "url": "/library-v2/LIB2-011/",
 "content_sha256": "fda5dab99db77b8484e7c040bff52432dee31af48504a4a40480ec6c22361c13",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}